1,1,132,0,0.631738," ","integrate((c*x^2+b*x)^(7/2),x, algorithm=""giac"")","-\frac{35 \, b^{8} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x}\right)} \sqrt{c} - b \right|}\right)}{32768 \, c^{\frac{9}{2}}} - \frac{1}{49152} \, {\left(\frac{105 \, b^{7}}{c^{4}} - 2 \, {\left(\frac{35 \, b^{6}}{c^{3}} - 4 \, {\left(\frac{7 \, b^{5}}{c^{2}} - 2 \, {\left(\frac{3 \, b^{4}}{c} + 8 \, {\left(85 \, b^{3} + 2 \, {\left(101 \, b^{2} c + 12 \, {\left(2 \, c^{3} x + 7 \, b c^{2}\right)} x\right)} x\right)} x\right)} x\right)} x\right)} x\right)} \sqrt{c x^{2} + b x}"," ",0,"-35/32768*b^8*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x))*sqrt(c) - b))/c^(9/2) - 1/49152*(105*b^7/c^4 - 2*(35*b^6/c^3 - 4*(7*b^5/c^2 - 2*(3*b^4/c + 8*(85*b^3 + 2*(101*b^2*c + 12*(2*c^3*x + 7*b*c^2)*x)*x)*x)*x)*x)*x)*sqrt(c*x^2 + b*x)","A",0
2,1,1,0,0.572585," ","integrate((3*I*x+4*x^2)^(7/2),x, algorithm=""giac"")","0"," ",0,"0","A",0
3,1,1,0,0.459898," ","integrate((3*I*x+4*x^2)^(5/2),x, algorithm=""giac"")","0"," ",0,"0","A",0
4,1,1,0,0.609964," ","integrate((3*I*x+4*x^2)^(3/2),x, algorithm=""giac"")","0"," ",0,"0","A",0
5,1,1,0,0.625357," ","integrate((3*I*x+4*x^2)^(1/2),x, algorithm=""giac"")","0"," ",0,"0","A",0
6,1,57,0,0.471283," ","integrate((-4*x^2+3*x)^(7/2),x, algorithm=""giac"")","-\frac{1}{4194304} \, {\left(8 \, {\left(16 \, {\left(8 \, {\left(32 \, {\left(8 \, {\left(16 \, {\left(8 \, x - 21\right)} x + 303\right)} x - 765\right)} x + 81\right)} x + 567\right)} x + 8505\right)} x + 76545\right)} \sqrt{-4 \, x^{2} + 3 \, x} + \frac{229635}{16777216} \, \arcsin\left(\frac{8}{3} \, x - 1\right)"," ",0,"-1/4194304*(8*(16*(8*(32*(8*(16*(8*x - 21)*x + 303)*x - 765)*x + 81)*x + 567)*x + 8505)*x + 76545)*sqrt(-4*x^2 + 3*x) + 229635/16777216*arcsin(8/3*x - 1)","A",0
7,1,47,0,0.453805," ","integrate((-4*x^2+3*x)^(5/2),x, algorithm=""giac"")","\frac{1}{98304} \, {\left(8 \, {\left(16 \, {\left(8 \, {\left(32 \, {\left(8 \, x - 15\right)} x + 243\right)} x - 27\right)} x - 405\right)} x - 3645\right)} \sqrt{-4 \, x^{2} + 3 \, x} + \frac{3645}{131072} \, \arcsin\left(\frac{8}{3} \, x - 1\right)"," ",0,"1/98304*(8*(16*(8*(32*(8*x - 15)*x + 243)*x - 27)*x - 405)*x - 3645)*sqrt(-4*x^2 + 3*x) + 3645/131072*arcsin(8/3*x - 1)","A",0
8,1,37,0,0.522825," ","integrate((-4*x^2+3*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{1024} \, {\left(8 \, {\left(16 \, {\left(8 \, x - 9\right)} x + 9\right)} x + 81\right)} \sqrt{-4 \, x^{2} + 3 \, x} + \frac{243}{4096} \, \arcsin\left(\frac{8}{3} \, x - 1\right)"," ",0,"-1/1024*(8*(16*(8*x - 9)*x + 9)*x + 81)*sqrt(-4*x^2 + 3*x) + 243/4096*arcsin(8/3*x - 1)","A",0
9,1,27,0,0.476690," ","integrate((-4*x^2+3*x)^(1/2),x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{-4 \, x^{2} + 3 \, x} {\left(8 \, x - 3\right)} + \frac{9}{64} \, \arcsin\left(\frac{8}{3} \, x - 1\right)"," ",0,"1/16*sqrt(-4*x^2 + 3*x)*(8*x - 3) + 9/64*arcsin(8/3*x - 1)","A",0
10,1,25,0,0.360820," ","integrate((-x^2+6*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} + 6 \, x} {\left(x - 3\right)} + \frac{9}{2} \, \arcsin\left(\frac{1}{3} \, x - 1\right)"," ",0,"1/2*sqrt(-x^2 + 6*x)*(x - 3) + 9/2*arcsin(1/3*x - 1)","A",0
11,1,27,0,0.435165," ","integrate((-9*x^2+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{36} \, \sqrt{-9 \, x^{2} + 5 \, x} {\left(18 \, x - 5\right)} + \frac{25}{216} \, \arcsin\left(\frac{18}{5} \, x - 1\right)"," ",0,"1/36*sqrt(-9*x^2 + 5*x)*(18*x - 5) + 25/216*arcsin(18/5*x - 1)","A",0
12,1,35,0,0.542765," ","integrate((-x^2+x)^(3/2),x, algorithm=""giac"")","-\frac{1}{64} \, {\left(2 \, {\left(4 \, {\left(2 \, x - 3\right)} x + 1\right)} x + 3\right)} \sqrt{-x^{2} + x} + \frac{3}{128} \, \arcsin\left(2 \, x - 1\right)"," ",0,"-1/64*(2*(4*(2*x - 3)*x + 1)*x + 3)*sqrt(-x^2 + x) + 3/128*arcsin(2*x - 1)","A",0
13,1,33,0,0.520470," ","integrate((x^2+4*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x^{2} + 4 \, x} {\left(x + 2\right)} + 2 \, \log\left({\left| -x + \sqrt{x^{2} + 4 \, x} - 2 \right|}\right)"," ",0,"1/2*sqrt(x^2 + 4*x)*(x + 2) + 2*log(abs(-x + sqrt(x^2 + 4*x) - 2))","A",0
14,1,33,0,0.517315," ","integrate((x^2-8*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x^{2} - 8 \, x} {\left(x - 4\right)} + 8 \, \log\left({\left| -x + \sqrt{x^{2} - 8 \, x} + 4 \right|}\right)"," ",0,"1/2*sqrt(x^2 - 8*x)*(x - 4) + 8*log(abs(-x + sqrt(x^2 - 8*x) + 4))","A",0
15,1,37,0,0.415024," ","integrate((x^2-x)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{x^{2} - x} {\left(2 \, x - 1\right)} + \frac{1}{8} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"1/4*sqrt(x^2 - x)*(2*x - 1) + 1/8*log(abs(-2*x + 2*sqrt(x^2 - x) + 1))","A",0
16,1,74,0,0.491962," ","integrate(1/(c*x^2+b*x)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, {\left(8 \, {\left(2 \, {\left(4 \, x {\left(\frac{2 \, c^{5} x}{b^{6}} + \frac{5 \, c^{4}}{b^{5}}\right)} + \frac{15 \, c^{3}}{b^{4}}\right)} x + \frac{5 \, c^{2}}{b^{3}}\right)} x - \frac{5 \, c}{b^{2}}\right)} x + \frac{3}{b}\right)}}{15 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}}}"," ",0,"-2/15*(2*(8*(2*(4*x*(2*c^5*x/b^6 + 5*c^4/b^5) + 15*c^3/b^4)*x + 5*c^2/b^3)*x - 5*c/b^2)*x + 3/b)/(c*x^2 + b*x)^(5/2)","A",0
17,-2,0,0,0.000000," ","integrate(1/(3*I*x+4*x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged."int(sage0,x)  Error: Bad Argument Value"","F(-2)",0
18,-2,0,0,0.000000," ","integrate(1/(3*I*x+4*x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged."int(sage0,x)  Error: Bad Argument Value"","F(-2)",0
19,-2,0,0,0.000000," ","integrate(1/(3*I*x+4*x^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged."int(sage0,x)  Error: Bad Argument Value"","F(-2)",0
20,-2,0,0,0.000000," ","integrate(1/(3*I*x+4*x^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged."int(sage0,x)  Error: Bad Argument Value"","F(-2)",0
21,1,8,0,0.498146," ","integrate(1/(-4*x^2+3*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \arcsin\left(\frac{8}{3} \, x - 1\right)"," ",0,"1/2*arcsin(8/3*x - 1)","A",0
22,1,29,0,0.506896," ","integrate(1/(-4*x^2+3*x)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-4 \, x^{2} + 3 \, x} {\left(8 \, x - 3\right)}}{9 \, {\left(4 \, x^{2} - 3 \, x\right)}}"," ",0,"-2/9*sqrt(-4*x^2 + 3*x)*(8*x - 3)/(4*x^2 - 3*x)","A",0
23,1,39,0,0.408411," ","integrate(1/(-4*x^2+3*x)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(8 \, {\left(16 \, {\left(8 \, x - 9\right)} x + 27\right)} x + 27\right)} \sqrt{-4 \, x^{2} + 3 \, x}}{243 \, {\left(4 \, x^{2} - 3 \, x\right)}^{2}}"," ",0,"-2/243*(8*(16*(8*x - 9)*x + 27)*x + 27)*sqrt(-4*x^2 + 3*x)/(4*x^2 - 3*x)^2","A",0
24,1,49,0,0.503607," ","integrate(1/(-4*x^2+3*x)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(8 \, {\left(32 \, {\left(8 \, {\left(16 \, {\left(8 \, x - 15\right)} x + 135\right)} x - 135\right)} x - 405\right)} x - 729\right)} \sqrt{-4 \, x^{2} + 3 \, x}}{10935 \, {\left(4 \, x^{2} - 3 \, x\right)}^{3}}"," ",0,"-2/10935*(8*(32*(8*(16*(8*x - 15)*x + 135)*x - 135)*x - 405)*x - 729)*sqrt(-4*x^2 + 3*x)/(4*x^2 - 3*x)^3","A",0
25,1,15,0,0.520163," ","integrate(1/(-b^2*x^2+b*x)^(1/2),x, algorithm=""giac"")","-\frac{\arcsin\left(-2 \, b x + 1\right) \mathrm{sgn}\left(b\right)}{{\left| b \right|}}"," ",0,"-arcsin(-2*b*x + 1)*sgn(b)/abs(b)","A",0
26,1,36,0,0.545602," ","integrate(1/(b^2*x^2+b*x)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -2 \, {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + b x}\right)} {\left| b \right|} - b \right|}\right)}{{\left| b \right|}}"," ",0,"-log(abs(-2*(x*abs(b) - sqrt(b^2*x^2 + b*x))*abs(b) - b))/abs(b)","A",0
27,1,6,0,0.391708," ","integrate(1/(-x^2+6*x)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{1}{3} \, x - 1\right)"," ",0,"arcsin(1/3*x - 1)","A",0
28,1,18,0,0.539614," ","integrate(1/(x^2+4*x)^(1/2),x, algorithm=""giac"")","-\log\left({\left| -x + \sqrt{x^{2} + 4 \, x} - 2 \right|}\right)"," ",0,"-log(abs(-x + sqrt(x^2 + 4*x) - 2))","A",0
29,1,18,0,0.538513," ","integrate(1/(x^2-2*x)^(1/2),x, algorithm=""giac"")","-\log\left({\left| -x + \sqrt{x^{2} - 2 \, x} + 1 \right|}\right)"," ",0,"-log(abs(-x + sqrt(x^2 - 2*x) + 1))","A",0
30,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(4/3),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(4/3), x)","F",0
31,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/3),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(1/3), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-2/3), x)","F",0
33,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(5/3),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-5/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(8/3),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-8/3), x)","F",0
35,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/3),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{5}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/3), x)","F",0
36,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(2/3),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(2/3), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-1/3), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-4/3), x)","F",0
39,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(7/3),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-7/3), x)","F",0
40,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/4),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/4), x)","F",0
41,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/4),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/4), x)","F",0
42,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/4),x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(1/4), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-1/4), x)","F",0
44,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-3/4), x)","F",0
45,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-5/4), x)","F",0
46,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-9/4), x)","F",0
47,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(13/4),x, algorithm=""giac"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-13/4), x)","F",0
48,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p,x, algorithm=""giac"")","\int {\left(c x^{2} + b x\right)}^{p}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p, x)","F",0
49,1,43,0,0.388646," ","integrate((c*x^2+a)^4,x, algorithm=""giac"")","\frac{1}{9} \, c^{4} x^{9} + \frac{4}{7} \, a c^{3} x^{7} + \frac{6}{5} \, a^{2} c^{2} x^{5} + \frac{4}{3} \, a^{3} c x^{3} + a^{4} x"," ",0,"1/9*c^4*x^9 + 4/7*a*c^3*x^7 + 6/5*a^2*c^2*x^5 + 4/3*a^3*c*x^3 + a^4*x","A",0
50,1,31,0,0.528874," ","integrate((c*x^2+a)^3,x, algorithm=""giac"")","\frac{1}{7} \, c^{3} x^{7} + \frac{3}{5} \, a c^{2} x^{5} + a^{2} c x^{3} + a^{3} x"," ",0,"1/7*c^3*x^7 + 3/5*a*c^2*x^5 + a^2*c*x^3 + a^3*x","A",0
51,1,21,0,0.431912," ","integrate((c*x^2+a)^2,x, algorithm=""giac"")","\frac{1}{5} \, c^{2} x^{5} + \frac{2}{3} \, a c x^{3} + a^{2} x"," ",0,"1/5*c^2*x^5 + 2/3*a*c*x^3 + a^2*x","A",0
52,1,10,0,0.351707," ","integrate(c*x^2+a,x, algorithm=""giac"")","\frac{1}{3} \, c x^{3} + a x"," ",0,"1/3*c*x^3 + a*x","A",0
53,1,15,0,0.395087," ","integrate(1/(c*x^2+a),x, algorithm=""giac"")","\frac{\arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}"," ",0,"arctan(c*x/sqrt(a*c))/sqrt(a*c)","A",0
54,1,35,0,0.416751," ","integrate(1/(c*x^2+a)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a} + \frac{x}{2 \, {\left(c x^{2} + a\right)} a}"," ",0,"1/2*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a) + 1/2*x/((c*x^2 + a)*a)","A",0
55,1,45,0,0.339214," ","integrate(1/(c*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2}} + \frac{3 \, c x^{3} + 5 \, a x}{8 \, {\left(c x^{2} + a\right)}^{2} a^{2}}"," ",0,"3/8*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2) + 1/8*(3*c*x^3 + 5*a*x)/((c*x^2 + a)^2*a^2)","A",0
56,1,63,0,0.358725," ","integrate((c*x^2+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, a^{3} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{16 \, \sqrt{c}} + \frac{1}{48} \, {\left(2 \, {\left(4 \, c^{2} x^{2} + 13 \, a c\right)} x^{2} + 33 \, a^{2}\right)} \sqrt{c x^{2} + a} x"," ",0,"-5/16*a^3*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c) + 1/48*(2*(4*c^2*x^2 + 13*a*c)*x^2 + 33*a^2)*sqrt(c*x^2 + a)*x","A",0
57,1,49,0,0.427333," ","integrate((c*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, c x^{2} + 5 \, a\right)} \sqrt{c x^{2} + a} x - \frac{3 \, a^{2} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{8 \, \sqrt{c}}"," ",0,"1/8*(2*c*x^2 + 5*a)*sqrt(c*x^2 + a)*x - 3/8*a^2*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c)","A",0
58,1,37,0,0.399138," ","integrate((c*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2} + a} x - \frac{a \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{2 \, \sqrt{c}}"," ",0,"1/2*sqrt(c*x^2 + a)*x - 1/2*a*log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c)","A",0
59,1,23,0,0.406470," ","integrate(1/(c*x^2+a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + a} \right|}\right)}{\sqrt{c}}"," ",0,"-log(abs(-sqrt(c)*x + sqrt(c*x^2 + a)))/sqrt(c)","A",0
60,1,14,0,0.476426," ","integrate(1/(c*x^2+a)^(3/2),x, algorithm=""giac"")","\frac{x}{\sqrt{c x^{2} + a} a}"," ",0,"x/(sqrt(c*x^2 + a)*a)","A",0
61,1,27,0,0.511332," ","integrate(1/(c*x^2+a)^(5/2),x, algorithm=""giac"")","\frac{x {\left(\frac{2 \, c x^{2}}{a^{2}} + \frac{3}{a}\right)}}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}}}"," ",0,"1/3*x*(2*c*x^2/a^2 + 3/a)/(c*x^2 + a)^(3/2)","A",0
62,1,41,0,0.455976," ","integrate(1/(c*x^2+a)^(7/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} {\left(\frac{2 \, c^{2} x^{2}}{a^{3}} + \frac{5 \, c}{a^{2}}\right)} + \frac{15}{a}\right)} x}{15 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}}}"," ",0,"1/15*(4*x^2*(2*c^2*x^2/a^3 + 5*c/a^2) + 15/a)*x/(c*x^2 + a)^(5/2)","A",0
63,1,55,0,0.409837," ","integrate(1/(c*x^2+a)^(9/2),x, algorithm=""giac"")","\frac{{\left(2 \, {\left(4 \, x^{2} {\left(\frac{2 \, c^{3} x^{2}}{a^{4}} + \frac{7 \, c^{2}}{a^{3}}\right)} + \frac{35 \, c}{a^{2}}\right)} x^{2} + \frac{35}{a}\right)} x}{35 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}}}"," ",0,"1/35*(2*(4*x^2*(2*c^3*x^2/a^4 + 7*c^2/a^3) + 35*c/a^2)*x^2 + 35/a)*x/(c*x^2 + a)^(7/2)","A",0
64,1,45,0,0.392955," ","integrate((9*x^2+12*x+4)^(3/2),x, algorithm=""giac"")","\frac{3}{4} \, {\left(3 \, x^{2} + 4 \, x\right)}^{2} \mathrm{sgn}\left(3 \, x + 2\right) + 2 \, {\left(3 \, x^{2} + 4 \, x\right)} \mathrm{sgn}\left(3 \, x + 2\right) + \frac{4}{3} \, \mathrm{sgn}\left(3 \, x + 2\right)"," ",0,"3/4*(3*x^2 + 4*x)^2*sgn(3*x + 2) + 2*(3*x^2 + 4*x)*sgn(3*x + 2) + 4/3*sgn(3*x + 2)","B",0
65,1,26,0,0.377052," ","integrate((9*x^2+12*x+4)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(3 \, x^{2} + 4 \, x\right)} \mathrm{sgn}\left(3 \, x + 2\right) + \frac{2}{3} \, \mathrm{sgn}\left(3 \, x + 2\right)"," ",0,"1/2*(3*x^2 + 4*x)*sgn(3*x + 2) + 2/3*sgn(3*x + 2)","A",0
66,1,25,0,0.286392," ","integrate(1/(9*x^2+12*x+4)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| 3 \, x + 2 \right|} {\left| \mathrm{sgn}\left(3 \, x + 2\right) \right|}\right)}{3 \, \mathrm{sgn}\left(3 \, x + 2\right)}"," ",0,"1/3*log(abs(3*x + 2)*abs(sgn(3*x + 2)))/sgn(3*x + 2)","A",0
67,0,0,0,0.000000," ","integrate(1/(9*x^2+12*x+4)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
68,1,26,0,0.345512," ","integrate(((-2+3*x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(3 \, x^{2} - 4 \, x\right)} \mathrm{sgn}\left(3 \, x - 2\right) + \frac{2}{3} \, \mathrm{sgn}\left(3 \, x - 2\right)"," ",0,"1/2*(3*x^2 - 4*x)*sgn(3*x - 2) + 2/3*sgn(3*x - 2)","A",0
69,1,15,0,0.456337," ","integrate(1/((-2+3*x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \log\left({\left| 3 \, x - 2 \right|}\right) \mathrm{sgn}\left(3 \, x - 2\right)"," ",0,"1/3*log(abs(3*x - 2))*sgn(3*x - 2)","A",0
70,1,26,0,0.375477," ","integrate((-(-2+3*x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} i \, {\left(3 \, x^{2} - 4 \, x\right)} \mathrm{sgn}\left(-3 \, x + 2\right) - \frac{2}{3} i \, \mathrm{sgn}\left(-3 \, x + 2\right)"," ",0,"-1/2*I*(3*x^2 - 4*x)*sgn(-3*x + 2) - 2/3*I*sgn(-3*x + 2)","C",0
71,1,23,0,0.447088," ","integrate(1/(-(-2+3*x)^2)^(1/2),x, algorithm=""giac"")","\frac{i \, \log\left({\left(-3 i \, x + 2 i\right)} \mathrm{sgn}\left(-3 \, x + 2\right)\right)}{3 \, \mathrm{sgn}\left(-3 \, x + 2\right)}"," ",0,"1/3*I*log((-3*I*x + 2*I)*sgn(-3*x + 2))/sgn(-3*x + 2)","C",0
72,1,26,0,0.406998," ","integrate((-(2+3*x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} i \, {\left(3 \, x^{2} + 4 \, x\right)} \mathrm{sgn}\left(-3 \, x - 2\right) - \frac{2}{3} i \, \mathrm{sgn}\left(-3 \, x - 2\right)"," ",0,"-1/2*I*(3*x^2 + 4*x)*sgn(-3*x - 2) - 2/3*I*sgn(-3*x - 2)","C",0
73,1,23,0,0.344802," ","integrate(1/(-(2+3*x)^2)^(1/2),x, algorithm=""giac"")","\frac{i \, \log\left({\left(-3 i \, x - 2 i\right)} \mathrm{sgn}\left(-3 \, x - 2\right)\right)}{3 \, \mathrm{sgn}\left(-3 \, x - 2\right)}"," ",0,"1/3*I*log((-3*I*x - 2*I)*sgn(-3*x - 2))/sgn(-3*x - 2)","C",0
74,1,334,0,0.429460," ","integrate((1/4*(b^2-1)/c+b*x+c*x^2)^5,x, algorithm=""giac"")","\frac{64512 \, c^{10} x^{11} + 354816 \, b c^{9} x^{10} + 887040 \, b^{2} c^{8} x^{9} + 1330560 \, b^{3} c^{7} x^{8} + 1330560 \, b^{4} c^{6} x^{7} - 98560 \, c^{8} x^{9} + 931392 \, b^{5} c^{5} x^{6} - 443520 \, b c^{7} x^{8} + 465696 \, b^{6} c^{4} x^{5} - 887040 \, b^{2} c^{6} x^{7} + 166320 \, b^{7} c^{3} x^{4} - 1034880 \, b^{3} c^{5} x^{6} + 41580 \, b^{8} c^{2} x^{3} - 776160 \, b^{4} c^{4} x^{5} + 63360 \, c^{6} x^{7} + 6930 \, b^{9} c x^{2} - 388080 \, b^{5} c^{3} x^{4} + 221760 \, b c^{5} x^{6} + 693 \, b^{10} x - 129360 \, b^{6} c^{2} x^{3} + 332640 \, b^{2} c^{4} x^{5} - 27720 \, b^{7} c x^{2} + 277200 \, b^{3} c^{3} x^{4} - 3465 \, b^{8} x + 138600 \, b^{4} c^{2} x^{3} - 22176 \, c^{4} x^{5} + 41580 \, b^{5} c x^{2} - 55440 \, b c^{3} x^{4} + 6930 \, b^{6} x - 55440 \, b^{2} c^{2} x^{3} - 27720 \, b^{3} c x^{2} - 6930 \, b^{4} x + 4620 \, c^{2} x^{3} + 6930 \, b c x^{2} + 3465 \, b^{2} x - 693 \, x}{709632 \, c^{5}}"," ",0,"1/709632*(64512*c^10*x^11 + 354816*b*c^9*x^10 + 887040*b^2*c^8*x^9 + 1330560*b^3*c^7*x^8 + 1330560*b^4*c^6*x^7 - 98560*c^8*x^9 + 931392*b^5*c^5*x^6 - 443520*b*c^7*x^8 + 465696*b^6*c^4*x^5 - 887040*b^2*c^6*x^7 + 166320*b^7*c^3*x^4 - 1034880*b^3*c^5*x^6 + 41580*b^8*c^2*x^3 - 776160*b^4*c^4*x^5 + 63360*c^6*x^7 + 6930*b^9*c*x^2 - 388080*b^5*c^3*x^4 + 221760*b*c^5*x^6 + 693*b^10*x - 129360*b^6*c^2*x^3 + 332640*b^2*c^4*x^5 - 27720*b^7*c*x^2 + 277200*b^3*c^3*x^4 - 3465*b^8*x + 138600*b^4*c^2*x^3 - 22176*c^4*x^5 + 41580*b^5*c*x^2 - 55440*b*c^3*x^4 + 6930*b^6*x - 55440*b^2*c^2*x^3 - 27720*b^3*c*x^2 - 6930*b^4*x + 4620*c^2*x^3 + 6930*b*c*x^2 + 3465*b^2*x - 693*x)/c^5","B",0
75,1,334,0,0.411562," ","integrate((1/4*(b^2-4)/c+b*x+c*x^2)^5,x, algorithm=""giac"")","\frac{64512 \, c^{10} x^{11} + 354816 \, b c^{9} x^{10} + 887040 \, b^{2} c^{8} x^{9} + 1330560 \, b^{3} c^{7} x^{8} + 1330560 \, b^{4} c^{6} x^{7} - 394240 \, c^{8} x^{9} + 931392 \, b^{5} c^{5} x^{6} - 1774080 \, b c^{7} x^{8} + 465696 \, b^{6} c^{4} x^{5} - 3548160 \, b^{2} c^{6} x^{7} + 166320 \, b^{7} c^{3} x^{4} - 4139520 \, b^{3} c^{5} x^{6} + 41580 \, b^{8} c^{2} x^{3} - 3104640 \, b^{4} c^{4} x^{5} + 1013760 \, c^{6} x^{7} + 6930 \, b^{9} c x^{2} - 1552320 \, b^{5} c^{3} x^{4} + 3548160 \, b c^{5} x^{6} + 693 \, b^{10} x - 517440 \, b^{6} c^{2} x^{3} + 5322240 \, b^{2} c^{4} x^{5} - 110880 \, b^{7} c x^{2} + 4435200 \, b^{3} c^{3} x^{4} - 13860 \, b^{8} x + 2217600 \, b^{4} c^{2} x^{3} - 1419264 \, c^{4} x^{5} + 665280 \, b^{5} c x^{2} - 3548160 \, b c^{3} x^{4} + 110880 \, b^{6} x - 3548160 \, b^{2} c^{2} x^{3} - 1774080 \, b^{3} c x^{2} - 443520 \, b^{4} x + 1182720 \, c^{2} x^{3} + 1774080 \, b c x^{2} + 887040 \, b^{2} x - 709632 \, x}{709632 \, c^{5}}"," ",0,"1/709632*(64512*c^10*x^11 + 354816*b*c^9*x^10 + 887040*b^2*c^8*x^9 + 1330560*b^3*c^7*x^8 + 1330560*b^4*c^6*x^7 - 394240*c^8*x^9 + 931392*b^5*c^5*x^6 - 1774080*b*c^7*x^8 + 465696*b^6*c^4*x^5 - 3548160*b^2*c^6*x^7 + 166320*b^7*c^3*x^4 - 4139520*b^3*c^5*x^6 + 41580*b^8*c^2*x^3 - 3104640*b^4*c^4*x^5 + 1013760*c^6*x^7 + 6930*b^9*c*x^2 - 1552320*b^5*c^3*x^4 + 3548160*b*c^5*x^6 + 693*b^10*x - 517440*b^6*c^2*x^3 + 5322240*b^2*c^4*x^5 - 110880*b^7*c*x^2 + 4435200*b^3*c^3*x^4 - 13860*b^8*x + 2217600*b^4*c^2*x^3 - 1419264*c^4*x^5 + 665280*b^5*c*x^2 - 3548160*b*c^3*x^4 + 110880*b^6*x - 3548160*b^2*c^2*x^3 - 1774080*b^3*c*x^2 - 443520*b^4*x + 1182720*c^2*x^3 + 1774080*b*c*x^2 + 887040*b^2*x - 709632*x)/c^5","B",0
76,1,334,0,0.449987," ","integrate((1/4*(b^2-9)/c+b*x+c*x^2)^5,x, algorithm=""giac"")","\frac{7168 \, c^{10} x^{11} + 39424 \, b c^{9} x^{10} + 98560 \, b^{2} c^{8} x^{9} + 147840 \, b^{3} c^{7} x^{8} + 147840 \, b^{4} c^{6} x^{7} - 98560 \, c^{8} x^{9} + 103488 \, b^{5} c^{5} x^{6} - 443520 \, b c^{7} x^{8} + 51744 \, b^{6} c^{4} x^{5} - 887040 \, b^{2} c^{6} x^{7} + 18480 \, b^{7} c^{3} x^{4} - 1034880 \, b^{3} c^{5} x^{6} + 4620 \, b^{8} c^{2} x^{3} - 776160 \, b^{4} c^{4} x^{5} + 570240 \, c^{6} x^{7} + 770 \, b^{9} c x^{2} - 388080 \, b^{5} c^{3} x^{4} + 1995840 \, b c^{5} x^{6} + 77 \, b^{10} x - 129360 \, b^{6} c^{2} x^{3} + 2993760 \, b^{2} c^{4} x^{5} - 27720 \, b^{7} c x^{2} + 2494800 \, b^{3} c^{3} x^{4} - 3465 \, b^{8} x + 1247400 \, b^{4} c^{2} x^{3} - 1796256 \, c^{4} x^{5} + 374220 \, b^{5} c x^{2} - 4490640 \, b c^{3} x^{4} + 62370 \, b^{6} x - 4490640 \, b^{2} c^{2} x^{3} - 2245320 \, b^{3} c x^{2} - 561330 \, b^{4} x + 3367980 \, c^{2} x^{3} + 5051970 \, b c x^{2} + 2525985 \, b^{2} x - 4546773 \, x}{78848 \, c^{5}}"," ",0,"1/78848*(7168*c^10*x^11 + 39424*b*c^9*x^10 + 98560*b^2*c^8*x^9 + 147840*b^3*c^7*x^8 + 147840*b^4*c^6*x^7 - 98560*c^8*x^9 + 103488*b^5*c^5*x^6 - 443520*b*c^7*x^8 + 51744*b^6*c^4*x^5 - 887040*b^2*c^6*x^7 + 18480*b^7*c^3*x^4 - 1034880*b^3*c^5*x^6 + 4620*b^8*c^2*x^3 - 776160*b^4*c^4*x^5 + 570240*c^6*x^7 + 770*b^9*c*x^2 - 388080*b^5*c^3*x^4 + 1995840*b*c^5*x^6 + 77*b^10*x - 129360*b^6*c^2*x^3 + 2993760*b^2*c^4*x^5 - 27720*b^7*c*x^2 + 2494800*b^3*c^3*x^4 - 3465*b^8*x + 1247400*b^4*c^2*x^3 - 1796256*c^4*x^5 + 374220*b^5*c*x^2 - 4490640*b*c^3*x^4 + 62370*b^6*x - 4490640*b^2*c^2*x^3 - 2245320*b^3*c*x^2 - 561330*b^4*x + 3367980*c^2*x^3 + 5051970*b*c*x^2 + 2525985*b^2*x - 4546773*x)/c^5","B",0
77,1,334,0,0.526465," ","integrate((1/4*(b^2-16)/c+b*x+c*x^2)^5,x, algorithm=""giac"")","\frac{64512 \, c^{10} x^{11} + 354816 \, b c^{9} x^{10} + 887040 \, b^{2} c^{8} x^{9} + 1330560 \, b^{3} c^{7} x^{8} + 1330560 \, b^{4} c^{6} x^{7} - 1576960 \, c^{8} x^{9} + 931392 \, b^{5} c^{5} x^{6} - 7096320 \, b c^{7} x^{8} + 465696 \, b^{6} c^{4} x^{5} - 14192640 \, b^{2} c^{6} x^{7} + 166320 \, b^{7} c^{3} x^{4} - 16558080 \, b^{3} c^{5} x^{6} + 41580 \, b^{8} c^{2} x^{3} - 12418560 \, b^{4} c^{4} x^{5} + 16220160 \, c^{6} x^{7} + 6930 \, b^{9} c x^{2} - 6209280 \, b^{5} c^{3} x^{4} + 56770560 \, b c^{5} x^{6} + 693 \, b^{10} x - 2069760 \, b^{6} c^{2} x^{3} + 85155840 \, b^{2} c^{4} x^{5} - 443520 \, b^{7} c x^{2} + 70963200 \, b^{3} c^{3} x^{4} - 55440 \, b^{8} x + 35481600 \, b^{4} c^{2} x^{3} - 90832896 \, c^{4} x^{5} + 10644480 \, b^{5} c x^{2} - 227082240 \, b c^{3} x^{4} + 1774080 \, b^{6} x - 227082240 \, b^{2} c^{2} x^{3} - 113541120 \, b^{3} c x^{2} - 28385280 \, b^{4} x + 302776320 \, c^{2} x^{3} + 454164480 \, b c x^{2} + 227082240 \, b^{2} x - 726663168 \, x}{709632 \, c^{5}}"," ",0,"1/709632*(64512*c^10*x^11 + 354816*b*c^9*x^10 + 887040*b^2*c^8*x^9 + 1330560*b^3*c^7*x^8 + 1330560*b^4*c^6*x^7 - 1576960*c^8*x^9 + 931392*b^5*c^5*x^6 - 7096320*b*c^7*x^8 + 465696*b^6*c^4*x^5 - 14192640*b^2*c^6*x^7 + 166320*b^7*c^3*x^4 - 16558080*b^3*c^5*x^6 + 41580*b^8*c^2*x^3 - 12418560*b^4*c^4*x^5 + 16220160*c^6*x^7 + 6930*b^9*c*x^2 - 6209280*b^5*c^3*x^4 + 56770560*b*c^5*x^6 + 693*b^10*x - 2069760*b^6*c^2*x^3 + 85155840*b^2*c^4*x^5 - 443520*b^7*c*x^2 + 70963200*b^3*c^3*x^4 - 55440*b^8*x + 35481600*b^4*c^2*x^3 - 90832896*c^4*x^5 + 10644480*b^5*c*x^2 - 227082240*b*c^3*x^4 + 1774080*b^6*x - 227082240*b^2*c^2*x^3 - 113541120*b^3*c*x^2 - 28385280*b^4*x + 302776320*c^2*x^3 + 454164480*b*c*x^2 + 227082240*b^2*x - 726663168*x)/c^5","B",0
78,1,16,0,0.368706," ","integrate(1/(3*x^2+4*x+2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(3*x + 2))","A",0
79,1,8,0,0.409779," ","integrate(1/(4+x^2-2*x*3^(1/2)),x, algorithm=""giac"")","\arctan\left(x - \sqrt{3}\right)"," ",0,"arctan(x - sqrt(3))","A",0
80,1,31,0,0.458168," ","integrate(1/(-3*x^2+4*x+2),x, algorithm=""giac"")","-\frac{1}{20} \, \sqrt{10} \log\left(\frac{{\left| 6 \, x - 2 \, \sqrt{10} - 4 \right|}}{{\left| 6 \, x + 2 \, \sqrt{10} - 4 \right|}}\right)"," ",0,"-1/20*sqrt(10)*log(abs(6*x - 2*sqrt(10) - 4)/abs(6*x + 2*sqrt(10) - 4))","A",0
81,1,15,0,0.507361," ","integrate(1/(3*x^2+5*x+2),x, algorithm=""giac"")","\log\left({\left| 3 \, x + 2 \right|}\right) - \log\left({\left| x + 1 \right|}\right)"," ",0,"log(abs(3*x + 2)) - log(abs(x + 1))","A",0
82,1,17,0,0.464493," ","integrate(1/(-3*x^2+5*x+2),x, algorithm=""giac"")","\frac{1}{7} \, \log\left({\left| 3 \, x + 1 \right|}\right) - \frac{1}{7} \, \log\left({\left| x - 2 \right|}\right)"," ",0,"1/7*log(abs(3*x + 1)) - 1/7*log(abs(x - 2))","A",0
83,1,15,0,0.329830," ","integrate(1/(x^2+4*x+3),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| x + 3 \right|}\right) + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"-1/2*log(abs(x + 3)) + 1/2*log(abs(x + 1))","B",0
84,1,40,0,0.346287," ","integrate(1/(pi*x+2*x^2+1),x, algorithm=""giac"")","\frac{\log\left(\frac{{\left| \pi + 4 \, x - \sqrt{\pi^{2} - 8} \right|}}{{\left| \pi + 4 \, x + \sqrt{\pi^{2} - 8} \right|}}\right)}{\sqrt{\pi^{2} - 8}}"," ",0,"log(abs(pi + 4*x - sqrt(pi^2 - 8))/abs(pi + 4*x + sqrt(pi^2 - 8)))/sqrt(pi^2 - 8)","A",0
85,1,45,0,0.382626," ","integrate(1/(pi*x-2*x^2+1),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| -\pi + 4 \, x - \sqrt{\pi^{2} + 8} \right|}}{{\left| -\pi + 4 \, x + \sqrt{\pi^{2} + 8} \right|}}\right)}{\sqrt{\pi^{2} + 8}}"," ",0,"-log(abs(-pi + 4*x - sqrt(pi^2 + 8))/abs(-pi + 4*x + sqrt(pi^2 + 8)))/sqrt(pi^2 + 8)","A",0
86,1,27,0,0.482098," ","integrate(1/(pi*x+3*x^2+1),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\pi + 6 \, x}{\sqrt{-\pi^{2} + 12}}\right)}{\sqrt{-\pi^{2} + 12}}"," ",0,"2*arctan((pi + 6*x)/sqrt(-pi^2 + 12))/sqrt(-pi^2 + 12)","A",0
87,1,45,0,0.531689," ","integrate(1/(pi*x-3*x^2+1),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| -\pi + 6 \, x - \sqrt{\pi^{2} + 12} \right|}}{{\left| -\pi + 6 \, x + \sqrt{\pi^{2} + 12} \right|}}\right)}{\sqrt{\pi^{2} + 12}}"," ",0,"-log(abs(-pi + 6*x - sqrt(pi^2 + 12))/abs(-pi + 6*x + sqrt(pi^2 + 12)))/sqrt(pi^2 + 12)","A",0
88,1,34,0,0.432024," ","integrate(1/(b*x^2+c*x+a),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{2 \, b x + c}{\sqrt{4 \, a b - c^{2}}}\right)}{\sqrt{4 \, a b - c^{2}}}"," ",0,"2*arctan((2*b*x + c)/sqrt(4*a*b - c^2))/sqrt(4*a*b - c^2)","A",0
89,1,30,0,0.365413," ","integrate(1/(b*x^2+2*a*x+b),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}}"," ",0,"arctan((b*x + a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2)","A",0
90,1,55,0,0.445001," ","integrate(1/(-b*x^2+2*a*x+b),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| 2 \, b x - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b x - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{2 \, \sqrt{a^{2} + b^{2}}}"," ",0,"-1/2*log(abs(2*b*x - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*x - 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
91,1,36,0,0.580461," ","integrate(1/(3*x^2+4*x+2)^2,x, algorithm=""giac"")","\frac{3}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right) + \frac{3 \, x + 2}{4 \, {\left(3 \, x^{2} + 4 \, x + 2\right)}}"," ",0,"3/8*sqrt(2)*arctan(1/2*sqrt(2)*(3*x + 2)) + 1/4*(3*x + 2)/(3*x^2 + 4*x + 2)","A",0
92,1,51,0,0.521542," ","integrate(1/(-3*x^2+4*x+2)^2,x, algorithm=""giac"")","-\frac{3}{400} \, \sqrt{10} \log\left(\frac{{\left| 6 \, x - 2 \, \sqrt{10} - 4 \right|}}{{\left| 6 \, x + 2 \, \sqrt{10} - 4 \right|}}\right) - \frac{3 \, x - 2}{20 \, {\left(3 \, x^{2} - 4 \, x - 2\right)}}"," ",0,"-3/400*sqrt(10)*log(abs(6*x - 2*sqrt(10) - 4)/abs(6*x + 2*sqrt(10) - 4)) - 1/20*(3*x - 2)/(3*x^2 - 4*x - 2)","A",0
93,1,36,0,0.454224," ","integrate(1/(3*x^2+5*x+2)^2,x, algorithm=""giac"")","-\frac{6 \, x + 5}{3 \, x^{2} + 5 \, x + 2} - 6 \, \log\left({\left| 3 \, x + 2 \right|}\right) + 6 \, \log\left({\left| x + 1 \right|}\right)"," ",0,"-(6*x + 5)/(3*x^2 + 5*x + 2) - 6*log(abs(3*x + 2)) + 6*log(abs(x + 1))","A",0
94,1,36,0,0.318326," ","integrate(1/(-3*x^2+5*x+2)^2,x, algorithm=""giac"")","-\frac{6 \, x - 5}{49 \, {\left(3 \, x^{2} - 5 \, x - 2\right)}} + \frac{6}{343} \, \log\left({\left| 3 \, x + 1 \right|}\right) - \frac{6}{343} \, \log\left({\left| x - 2 \right|}\right)"," ",0,"-1/49*(6*x - 5)/(3*x^2 - 5*x - 2) + 6/343*log(abs(3*x + 1)) - 6/343*log(abs(x - 2))","A",0
95,1,67,0,0.403897," ","integrate(1/(b*x^2+c*x+a)^2,x, algorithm=""giac"")","\frac{4 \, b \arctan\left(\frac{2 \, b x + c}{\sqrt{4 \, a b - c^{2}}}\right)}{{\left(4 \, a b - c^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, b x + c}{{\left(b x^{2} + c x + a\right)} {\left(4 \, a b - c^{2}\right)}}"," ",0,"4*b*arctan((2*b*x + c)/sqrt(4*a*b - c^2))/(4*a*b - c^2)^(3/2) + (2*b*x + c)/((b*x^2 + c*x + a)*(4*a*b - c^2))","A",0
96,1,75,0,0.513529," ","integrate(1/(b*x^2+2*a*x+b)^2,x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{b x + a}{\sqrt{-a^{2} + b^{2}}}\right)}{2 \, {\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}}} - \frac{b x + a}{2 \, {\left(b x^{2} + 2 \, a x + b\right)} {\left(a^{2} - b^{2}\right)}}"," ",0,"-1/2*b*arctan((b*x + a)/sqrt(-a^2 + b^2))/((a^2 - b^2)*sqrt(-a^2 + b^2)) - 1/2*(b*x + a)/((b*x^2 + 2*a*x + b)*(a^2 - b^2))","A",0
97,1,90,0,0.526224," ","integrate(1/(-b*x^2+2*a*x+b)^2,x, algorithm=""giac"")","-\frac{b \log\left(\frac{{\left| 2 \, b x - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b x - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{4 \, {\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{b x - a}{2 \, {\left(b x^{2} - 2 \, a x - b\right)} {\left(a^{2} + b^{2}\right)}}"," ",0,"-1/4*b*log(abs(2*b*x - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*x - 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 1/2*(b*x - a)/((b*x^2 - 2*a*x - b)*(a^2 + b^2))","A",0
98,1,100,0,0.569616," ","integrate(1/((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-2*pi*k+pi)/n)),x, algorithm=""giac"")","\frac{\arctan\left(-\frac{\left(\frac{a}{b}\right)^{\left(\frac{1}{n}\right)} \cos\left(-\frac{2 \, \pi k}{n} + \frac{\pi}{n}\right) - x}{\sqrt{-\cos\left(\frac{2 \, \pi k}{n} - \frac{\pi}{n}\right)^{2} + 1} \left(\frac{a}{b}\right)^{\left(\frac{1}{n}\right)}}\right)}{\sqrt{-\cos\left(\frac{2 \, \pi k}{n} - \frac{\pi}{n}\right)^{2} + 1} \left(\frac{a}{b}\right)^{\left(\frac{1}{n}\right)}}"," ",0,"arctan(-((a/b)^(1/n)*cos(-2*pi*k/n + pi/n) - x)/(sqrt(-cos(2*pi*k/n - pi/n)^2 + 1)*(a/b)^(1/n)))/(sqrt(-cos(2*pi*k/n - pi/n)^2 + 1)*(a/b)^(1/n))","A",0
99,1,56,0,0.526636," ","integrate(1/(a*b-b^2*x^2+x*(-4*a*b^3+b^2)^(1/2)),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| 2 \, b^{2} x - \sqrt{-4 \, a b + 1} {\left| b \right|} - {\left| b \right|} \right|}}{{\left| 2 \, b^{2} x - \sqrt{-4 \, a b + 1} {\left| b \right|} + {\left| b \right|} \right|}}\right)}{{\left| b \right|}}"," ",0,"-log(abs(2*b^2*x - sqrt(-4*a*b + 1)*abs(b) - abs(b))/abs(2*b^2*x - sqrt(-4*a*b + 1)*abs(b) + abs(b)))/abs(b)","A",0
100,1,54,0,0.545913," ","integrate(1/(a*b-b^2*x^2-x*(-4*a*b^3+b^2)^(1/2)),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| 2 \, b^{2} x + \sqrt{-4 \, a b + 1} {\left| b \right|} - {\left| b \right|} \right|}}{{\left| 2 \, b^{2} x + \sqrt{-4 \, a b + 1} {\left| b \right|} + {\left| b \right|} \right|}}\right)}{{\left| b \right|}}"," ",0,"-log(abs(2*b^2*x + sqrt(-4*a*b + 1)*abs(b) - abs(b))/abs(2*b^2*x + sqrt(-4*a*b + 1)*abs(b) + abs(b)))/abs(b)","A",0
101,1,27,0,0.466313," ","integrate(1/(1+x^2+2*x*cos(1/7)),x, algorithm=""giac"")","\frac{\arctan\left(\frac{x + \cos\left(\frac{1}{7}\right)}{\sqrt{-\cos\left(\frac{1}{7}\right)^{2} + 1}}\right)}{\sqrt{-\cos\left(\frac{1}{7}\right)^{2} + 1}}"," ",0,"arctan((x + cos(1/7))/sqrt(-cos(1/7)^2 + 1))/sqrt(-cos(1/7)^2 + 1)","B",0
102,1,33,0,0.465868," ","integrate(1/(1+x^2+2*x*cos(1/7*pi)),x, algorithm=""giac"")","\frac{\arctan\left(\frac{x + \cos\left(\frac{1}{7} \, \pi\right)}{\sqrt{-\cos\left(\frac{1}{7} \, \pi\right)^{2} + 1}}\right)}{\sqrt{-\cos\left(\frac{1}{7} \, \pi\right)^{2} + 1}}"," ",0,"arctan((x + cos(1/7*pi))/sqrt(-cos(1/7*pi)^2 + 1))/sqrt(-cos(1/7*pi)^2 + 1)","A",0
103,1,40,0,0.467566," ","integrate((9*x^2-6*x+5)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{9 \, x^{2} - 6 \, x + 5} {\left(3 \, x - 1\right)} - \frac{2}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} - 6 \, x + 5} + 1\right)"," ",0,"1/6*sqrt(9*x^2 - 6*x + 5)*(3*x - 1) - 2/3*log(-3*x + sqrt(9*x^2 - 6*x + 5) + 1)","A",0
104,1,24,0,1.603991," ","integrate((-4*x^2-4*x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{-4 \, x^{2} - 4 \, x + 3} {\left(2 \, x + 1\right)} + \arcsin\left(x + \frac{1}{2}\right)"," ",0,"1/4*sqrt(-4*x^2 - 4*x + 3)*(2*x + 1) + arcsin(x + 1/2)","A",0
105,1,41,0,0.429060," ","integrate((9*x^2+6*x-8)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{9 \, x^{2} + 6 \, x - 8} {\left(3 \, x + 1\right)} + \frac{3}{2} \, \log\left({\left| -3 \, x + \sqrt{9 \, x^{2} + 6 \, x - 8} - 1 \right|}\right)"," ",0,"1/6*sqrt(9*x^2 + 6*x - 8)*(3*x + 1) + 3/2*log(abs(-3*x + sqrt(9*x^2 + 6*x - 8) - 1))","A",0
106,1,53,0,0.455640," ","integrate((3*x^2+4*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{3 \, x^{2} + 4 \, x + 2} {\left(3 \, x + 2\right)} - \frac{1}{9} \, \sqrt{3} \log\left(-\sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 4 \, x + 2}\right)} - 2\right)"," ",0,"1/6*sqrt(3*x^2 + 4*x + 2)*(3*x + 2) - 1/9*sqrt(3)*log(-sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 4*x + 2)) - 2)","A",0
107,1,36,0,0.470087," ","integrate((-3*x^2+4*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{-3 \, x^{2} + 4 \, x + 2} {\left(3 \, x - 2\right)} + \frac{5}{9} \, \sqrt{3} \arcsin\left(\frac{1}{10} \, \sqrt{10} {\left(3 \, x - 2\right)}\right)"," ",0,"1/6*sqrt(-3*x^2 + 4*x + 2)*(3*x - 2) + 5/9*sqrt(3)*arcsin(1/10*sqrt(10)*(3*x - 2))","A",0
108,1,54,0,0.441888," ","integrate((3*x^2+5*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(6 \, x + 5\right)} + \frac{1}{72} \, \sqrt{3} \log\left({\left| -2 \, \sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 5 \, x + 2}\right)} - 5 \right|}\right)"," ",0,"1/12*sqrt(3*x^2 + 5*x + 2)*(6*x + 5) + 1/72*sqrt(3)*log(abs(-2*sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 5*x + 2)) - 5))","A",0
109,1,31,0,0.400764," ","integrate((-3*x^2+5*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{-3 \, x^{2} + 5 \, x + 2} {\left(6 \, x - 5\right)} + \frac{49}{72} \, \sqrt{3} \arcsin\left(\frac{6}{7} \, x - \frac{5}{7}\right)"," ",0,"1/12*sqrt(-3*x^2 + 5*x + 2)*(6*x - 5) + 49/72*sqrt(3)*arcsin(6/7*x - 5/7)","A",0
110,1,54,0,0.488727," ","integrate((3*x^2+4*x-2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{3 \, x^{2} + 4 \, x - 2} {\left(3 \, x + 2\right)} + \frac{5}{9} \, \sqrt{3} \log\left({\left| -\sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 4 \, x - 2}\right)} - 2 \right|}\right)"," ",0,"1/6*sqrt(3*x^2 + 4*x - 2)*(3*x + 2) + 5/9*sqrt(3)*log(abs(-sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 4*x - 2)) - 2))","A",0
111,0,0,0,0.000000," ","integrate((-3*x^2+4*x-2)^(1/2),x, algorithm=""giac"")","\int \sqrt{-3 \, x^{2} + 4 \, x - 2}\,{d x}"," ",0,"integrate(sqrt(-3*x^2 + 4*x - 2), x)","F",0
112,1,54,0,0.444985," ","integrate((3*x^2+5*x-2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3 \, x^{2} + 5 \, x - 2} {\left(6 \, x + 5\right)} + \frac{49}{72} \, \sqrt{3} \log\left({\left| -2 \, \sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 5 \, x - 2}\right)} - 5 \right|}\right)"," ",0,"1/12*sqrt(3*x^2 + 5*x - 2)*(6*x + 5) + 49/72*sqrt(3)*log(abs(-2*sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 5*x - 2)) - 5))","A",0
113,1,31,0,0.526230," ","integrate((-3*x^2+5*x-2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{-3 \, x^{2} + 5 \, x - 2} {\left(6 \, x - 5\right)} + \frac{1}{72} \, \sqrt{3} \arcsin\left(6 \, x - 5\right)"," ",0,"1/12*sqrt(-3*x^2 + 5*x - 2)*(6*x - 5) + 1/72*sqrt(3)*arcsin(6*x - 5)","A",0
114,1,20,0,0.631164," ","integrate(1/(9*x^2-6*x+5)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} - 6 \, x + 5} + 1\right)"," ",0,"-1/3*log(-3*x + sqrt(9*x^2 - 6*x + 5) + 1)","B",0
115,1,6,0,0.518233," ","integrate(1/(-4*x^2-4*x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \arcsin\left(x + \frac{1}{2}\right)"," ",0,"1/2*arcsin(x + 1/2)","A",0
116,1,21,0,0.574764," ","integrate(1/(9*x^2+6*x-8)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left({\left| -3 \, x + \sqrt{9 \, x^{2} + 6 \, x - 8} - 1 \right|}\right)"," ",0,"-1/3*log(abs(-3*x + sqrt(9*x^2 + 6*x - 8) - 1))","A",0
117,1,33,0,0.616195," ","integrate(1/(3*x^2+4*x+2)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \log\left(-\sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 4 \, x + 2}\right)} - 2\right)"," ",0,"-1/3*sqrt(3)*log(-sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 4*x + 2)) - 2)","B",0
118,1,16,0,0.817771," ","integrate(1/(-3*x^2+4*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arcsin\left(\frac{1}{10} \, \sqrt{10} {\left(3 \, x - 2\right)}\right)"," ",0,"1/3*sqrt(3)*arcsin(1/10*sqrt(10)*(3*x - 2))","A",0
119,1,34,0,0.802237," ","integrate(1/(3*x^2+5*x+2)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \log\left({\left| -2 \, \sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 5 \, x + 2}\right)} - 5 \right|}\right)"," ",0,"-1/3*sqrt(3)*log(abs(-2*sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 5*x + 2)) - 5))","A",0
120,1,11,0,0.657657," ","integrate(1/(-3*x^2+5*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arcsin\left(\frac{6}{7} \, x - \frac{5}{7}\right)"," ",0,"1/3*sqrt(3)*arcsin(6/7*x - 5/7)","A",0
121,1,34,0,0.561817," ","integrate(1/(3*x^2+4*x-2)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \log\left({\left| -\sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 4 \, x - 2}\right)} - 2 \right|}\right)"," ",0,"-1/3*sqrt(3)*log(abs(-sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 4*x - 2)) - 2))","A",0
122,0,0,0,0.000000," ","integrate(1/(-3*x^2+4*x-2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-3 \, x^{2} + 4 \, x - 2}}\,{d x}"," ",0,"integrate(1/sqrt(-3*x^2 + 4*x - 2), x)","F",0
123,1,34,0,0.730927," ","integrate(1/(3*x^2+5*x-2)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \log\left({\left| -2 \, \sqrt{3} {\left(\sqrt{3} x - \sqrt{3 \, x^{2} + 5 \, x - 2}\right)} - 5 \right|}\right)"," ",0,"-1/3*sqrt(3)*log(abs(-2*sqrt(3)*(sqrt(3)*x - sqrt(3*x^2 + 5*x - 2)) - 5))","A",0
124,1,11,0,0.638106," ","integrate(1/(-3*x^2+5*x-2)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arcsin\left(6 \, x - 5\right)"," ",0,"1/3*sqrt(3)*arcsin(6*x - 5)","A",0
125,1,46,0,0.754015," ","integrate(2/((b^2+4*c)/c+4*b*x+4*c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| {\left(2 \, \sqrt{c} x - \sqrt{4 \, c x^{2} + 4 \, b x + \frac{b^{2} + 4 \, c}{c}}\right)} \sqrt{c} + b \right|}\right)}{\sqrt{c}}"," ",0,"-log(abs((2*sqrt(c)*x - sqrt(4*c*x^2 + 4*b*x + (b^2 + 4*c)/c))*sqrt(c) + b))/sqrt(c)","B",0
126,1,53,0,1.084624," ","integrate(2/((-b^2+4*c)/c+4*b*x-4*c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| {\left(2 \, \sqrt{-c} x - \sqrt{-4 \, c x^{2} + 4 \, b x - \frac{b^{2} - 4 \, c}{c}}\right)} \sqrt{-c} + b \right|}\right)}{\sqrt{-c}}"," ",0,"-log(abs((2*sqrt(-c)*x - sqrt(-4*c*x^2 + 4*b*x - (b^2 - 4*c)/c))*sqrt(-c) + b))/sqrt(-c)","B",0
127,1,53,0,0.817323," ","integrate(2/((-b^2+c)/c+4*b*x-4*c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| {\left(2 \, \sqrt{-c} x - \sqrt{-4 \, c x^{2} + 4 \, b x - \frac{b^{2} - c}{c}}\right)} \sqrt{-c} + b \right|}\right)}{\sqrt{-c}}"," ",0,"-log(abs((2*sqrt(-c)*x - sqrt(-4*c*x^2 + 4*b*x - (b^2 - c)/c))*sqrt(-c) + b))/sqrt(-c)","B",0
128,1,17,0,0.828179," ","integrate(1/(x^2+3*x+2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, x + 3\right)}}{\sqrt{x^{2} + 3 \, x + 2}}"," ",0,"-2*(2*x + 3)/sqrt(x^2 + 3*x + 2)","A",0
129,1,17,0,0.774340," ","integrate(1/(4*x^2-24*x+27)^(3/2),x, algorithm=""giac"")","-\frac{x - 3}{9 \, \sqrt{4 \, x^{2} - 24 \, x + 27}}"," ",0,"-1/9*(x - 3)/sqrt(4*x^2 - 24*x + 27)","A",0
130,1,29,0,0.614691," ","integrate(x/(-x^2-4*x+5)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{-x^{2} - 4 \, x + 5} {\left(2 \, x - 5\right)}}{9 \, {\left(x^{2} + 4 \, x - 5\right)}}"," ",0,"1/9*sqrt(-x^2 - 4*x + 5)*(2*x - 5)/(x^2 + 4*x - 5)","A",0
131,1,36,0,0.776723," ","integrate(1/(-x^2-4*x+5)^(5/2),x, algorithm=""giac"")","-\frac{{\left({\left(2 \, {\left(x + 6\right)} x - 3\right)} x - 38\right)} \sqrt{-x^{2} - 4 \, x + 5}}{243 \, {\left(x^{2} + 4 \, x - 5\right)}^{2}}"," ",0,"-1/243*((2*(x + 6)*x - 3)*x - 38)*sqrt(-x^2 - 4*x + 5)/(x^2 + 4*x - 5)^2","A",0
132,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p,x, algorithm=""giac"")","\int {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p, x)","F",0
133,0,0,0,0.000000," ","integrate((5*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(5 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((5*x^2 + 4*x + 3)^p, x)","F",0
134,0,0,0,0.000000," ","integrate((4*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(4 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((4*x^2 + 4*x + 3)^p, x)","F",0
135,0,0,0,0.000000," ","integrate((3*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(3 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((3*x^2 + 4*x + 3)^p, x)","F",0
136,0,0,0,0.000000," ","integrate((2*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(2 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((2*x^2 + 4*x + 3)^p, x)","F",0
137,0,0,0,0.000000," ","integrate((x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((x^2 + 4*x + 3)^p, x)","F",0
138,1,16,0,0.624364," ","integrate((3+4*x)^p,x, algorithm=""giac"")","\frac{{\left(4 \, x + 3\right)}^{p + 1}}{4 \, {\left(p + 1\right)}}"," ",0,"1/4*(4*x + 3)^(p + 1)/(p + 1)","A",0
139,0,0,0,0.000000," ","integrate((-x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(-x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-x^2 + 4*x + 3)^p, x)","F",0
140,0,0,0,0.000000," ","integrate((-2*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(-2 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-2*x^2 + 4*x + 3)^p, x)","F",0
141,0,0,0,0.000000," ","integrate((-3*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(-3 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-3*x^2 + 4*x + 3)^p, x)","F",0
142,0,0,0,0.000000," ","integrate((-4*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(-4 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-4*x^2 + 4*x + 3)^p, x)","F",0
143,0,0,0,0.000000," ","integrate((-5*x^2+4*x+3)^p,x, algorithm=""giac"")","\int {\left(-5 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-5*x^2 + 4*x + 3)^p, x)","F",0
